Results 1 to 10 of about 259 (129)
On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
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On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76â104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
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On endomorphisms of groups of order 36; pp. 237–254 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 There exist exactly 14 non-isomorphic groups of order 36. In this paper we will prove that three of them are not determined by their endomorphism semigroups in the class of all groups.
Alar Leibak, Peeter Puusemp
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Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
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A Note on Extensions of Semigroups of ∗-Endomorphisms [PDF]
Proceedings of the American Mathematical Society, 1992 We present a relatively elementary proof that every E 0 {E_0}
Arveson, William, Kishimoto, Akitaka
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Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1268-1337, November 2023., 2023 Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
wiley +1 more source
Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023 Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol +3 more
wiley +1 more source
On semigroups of graph endomorphisms
Discrete Mathematics, 1980 AbstractIt is shown that given a finite or infinite graph H and a subsemigroup B of its endomorphism semigroup End H, there exists a graph G such that 1.(i)|H is an induced subgraph of G,2.(ii)|H is stable by every f ϵ End G,3.(iii)|every f ϵ End G is uniquely determined by its restriction to H,4.(iv)|the restriction of End G to H is precisely B.
Stéphane Foldes, Gert Sabidussi
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Semigroups with few endomorphisms [PDF]
Journal of the Australian Mathematical Society, 1969 Large finite groups have large automorphism groups [4]; infinite groups may, like the infinite cyclic group, have finite automorphism groups, but their endomorphism semigroups are infinite (see Baer [1, p. 530] or [2, p. 68]). We show in this paper that the corresponding propositions for semigroups are false.
Vlastimil Dlab, B. H. Neumann
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On fractional semidiscrete Dirac operators of Lévy–Leblond type
Mathematische Nachrichten, Volume 296, Issue 7, Page 2758-2779, July 2023., 2023 Abstract In this paper, we introduce a wide class of space‐fractional and time‐fractional semidiscrete Dirac operators of Lévy–Leblond type on the semidiscrete space‐time lattice hZn×[0,∞)$h{\mathbb {Z}}^n\times [0,\infty )$ (h>0$h>0$), resembling to fractional semidiscrete counterparts of the so‐called parabolic Dirac operators.
Nelson Faustino
wiley +1 more source